Pith Number

pith:KK4NRM5M

pith:2026:KK4NRM5METRAVHIMC6JXOVYLFY

not attested not anchored not stored refs pending

Integrability and transformations in the bilinear method: An introduction

Da-jun Zhang

arxiv:2606.16205 v2 · 2026-06-15 · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK4NRM5METRAVHIMC6JXOVYLFY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-23T01:23:37.620801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b8d8b3ac24e20a9d0c179377570b2e3c6f044fa9c69960480fd75e71754c61

Aliases

arxiv: 2606.16205 · arxiv_version: 2606.16205v2 · doi: 10.48550/arxiv.2606.16205 · pith_short_12: KK4NRM5METRA · pith_short_16: KK4NRM5METRAVHIM · pith_short_8: KK4NRM5M

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KK4NRM5METRAVHIMC6JXOVYLFY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 52b8d8b3ac24e20a9d0c179377570b2e3c6f044fa9c69960480fd75e71754c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd832503772a1080c892cbd319e337cef16c244528259ed92241c3f8b24a7c62",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-06-15T04:31:03Z",
    "title_canon_sha256": "b7253594b62d4f9c69d46433c0e3dda3b434b7bffa7cf775037ddcc9e646717b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16205",
    "kind": "arxiv",
    "version": 2
  }
}